Finiteness for the Wrt Representations of Mapping Class Groups
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چکیده
We consider a central extension of the mapping class group of a surface with a collection of framed colored points. The Witten-Reshetikhin-Turaev TQFTs associated to SU(2) and SO(3) induce unitary representations of this group. We show these representations have finite image in the case r is an odd prime. We show this for all r if the surface is a sphere. We show this for all r if the surface is a torus and there are no colored points.
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تاریخ انتشار 1997